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arXiv · 1604.08856

The Wilson loop in the Gaussian Unitary Ensemble

Razvan Gurau
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Abstract

Using the supersymmetric formalism we compute exactly at finite $N$ the expectation of the Wilson loop in the Gaussian Unitary Ensemble and derive an exact formula for the spectral density at finite $N$. We obtain the same result by a second method relying on enumerative combinatorics and show that it leads to a novel proof of the Harer-Zagier series formula.

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Razvan Gurau. 2016-05-24. The Wilson loop in the Gaussian Unitary Ensemble. https://arxiv.org/abs/1604.08856

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